Mathematics, 18.03.2020 18:09 nyasiasaunders1234

Jonas is given a test question asking him to show that the sum of two odd integers is always an even integer. Which choice is the best proof of his conjecture?

Every time you add two odd numbers, the sum is an even number.

Look at these different examples: 5 + 3 = 8, 15 + 7 = 22, 21 + 13 = 34. So the sum of two odd numbers must be even.

Let a and b both represent odd numbers, and let a + b be an even number. Therefore, a + b = b + a, which shows that the sum of two odd numbers is even.

Let (2a + 1) be one odd number, and let (2b + 1) be the other odd number. (2a + 1) + (2b + 1) = 2a + 2b + 2 = 2(a + b + 1). Because 2(a + b + 1) is a multiple of 2, it is an even number.

Answers: 2

Show answers

Another question on Mathematics

Mathematics, 21.06.2019 16:00

Which is the graph of the piecewise function f(x)? f(x)=[tex]f(x) = \left \{ {{-x+1, x\leq 0 } \atop {x+1, x\ \textgreater \ 0}} \right.[/tex]

Answers: 3

Answer

Mathematics, 21.06.2019 19:30

Aregular pentagon with a perimeter of 21 inches is dilated by a scale factor of 5/3 to create a new pentagon. what is the perimeter of the new pentagon?

Answers: 2

Answer

Mathematics, 21.06.2019 20:50

Find the missing variable for a parallelogram: a = latex: 32in^2 32 i n 2 h = b = 6.3 in (1in=2.54cm)

Answers: 2

Answer

Mathematics, 21.06.2019 22:20

Igure 1 and figure 2 are two congruent parallelograms drawn on a coordinate grid as shown below: 4 quadrant coordinate grid showing two parallelograms. figure 1 has vertices at negative 5, 2 and negative 3, 4 and negative 4, 7 and negative 6, 5. figure 2 has vertices at 5, negative 2 and 7, negative 4 and 6, negative 7 and 4, negative 5. which two transformations can map figure 1 onto figure 2? reflection across the y-axis, followed by reflection across x-axis reflection across the x-axis, followed by reflection across y-axis reflection across the x-axis, followed by translation 10 units right reflection across the y-axis, followed by translation 5 units down

Answers: 1

Answer

You know the right answer?

Jonas is given a test question asking him to show that the sum of two odd integers is always an even...

Questions

Mathematics, 27.02.2021 01:00

Can someone help me with this ...